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Finding the Third Proportional to 227,261 and 495,994

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Solution

The third proportional to 227,261 and 495,994 is: 1,082,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,261 : 495,994 = 495,994 : x
  2. Step 2: Convert to fraction form
    227,261/495,994 = 495,994/x
  3. Step 3: Cross multiply
    227,261x = 495,994 × 495,994
  4. Step 4: Simplify right side
    227,261x = 246,010,048,036
  5. Step 5: Solve for x
    x = 246,010,048,036/227,261
  6. Step 6: Final answer
    x = 1,082,500.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.